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Simplifying x2 + -20x = 42x2 Reorder the terms: -20x + x2 = 42x2 Solving -20x + x2 = 42x2 Solving for variable 'x'. Combine like terms: x2 + -42x2 = -41x2 -20x + -41x2 = 42x2 + -42x2 Combine like terms: 42x2 + -42x2 = 0 -20x + -41x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(20 + 41x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(20 + 41x)' equal to zero and attempt to solve: Simplifying 20 + 41x = 0 Solving 20 + 41x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 41x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 41x = 0 + -20 41x = 0 + -20 Combine like terms: 0 + -20 = -20 41x = -20 Divide each side by '41'. x = -0.487804878 Simplifying x = -0.487804878Solution
x = {0, -0.487804878}
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